TSTP Solution File: NUN134-1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:07:56 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 35 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 13 ( 13 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f260,plain,
$false,
inference(trivial_inequality_removal,[],[f259]) ).
fof(f259,plain,
s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))) != s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference(forward_demodulation,[],[f258,f128]) ).
fof(f128,plain,
'+'(sum(a),sum(a)) = '+'(a,times(a,a)),
inference(backward_demodulation,[],[f14,f122]) ).
fof(f122,plain,
! [X6,X7] : times(X7,s(X6)) = '+'(X7,times(X6,X7)),
inference(superposition,[],[f11,f3]) ).
fof(f3,axiom,
! [X0,X1] : times(X0,X1) = times(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_comm) ).
fof(f11,axiom,
! [X0,X1] : times(s(X0),X1) = '+'(X1,times(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_s) ).
fof(f14,axiom,
'+'(sum(a),sum(a)) = times(a,s(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction_hypothesis) ).
fof(f258,plain,
s(s('+'(a,'+'(a,'+'(a,times(a,a)))))) != s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference(forward_demodulation,[],[f257,f254]) ).
fof(f254,plain,
! [X14,X15] : times(X15,s(X14)) = '+'(X15,times(X15,X14)),
inference(forward_demodulation,[],[f210,f7]) ).
fof(f7,axiom,
! [X0] : times(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',times_one) ).
fof(f210,plain,
! [X14,X15] : times(X15,s(X14)) = '+'(times(X15,one),times(X15,X14)),
inference(superposition,[],[f8,f133]) ).
fof(f133,plain,
! [X1] : s(X1) = '+'(one,X1),
inference(forward_demodulation,[],[f124,f7]) ).
fof(f124,plain,
! [X1] : s(X1) = '+'(one,times(X1,one)),
inference(superposition,[],[f7,f11]) ).
fof(f8,axiom,
! [X2,X0,X1] : times(X0,'+'(X1,X2)) = '+'(times(X0,X1),times(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distr) ).
fof(f257,plain,
s(s('+'(a,'+'(a,times(a,s(a)))))) != s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference(backward_demodulation,[],[f79,f254]) ).
fof(f79,plain,
s(s('+'(a,times(a,s(s(a)))))) != s(s('+'(a,'+'(a,'+'(sum(a),sum(a)))))),
inference(backward_demodulation,[],[f74,f61]) ).
fof(f61,plain,
! [X3,X4] : '+'(X4,s(X3)) = s('+'(X4,X3)),
inference(superposition,[],[f45,f1]) ).
fof(f1,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_comm) ).
fof(f45,plain,
! [X3,X4] : '+'(X4,s(X3)) = s('+'(X3,X4)),
inference(superposition,[],[f1,f10]) ).
fof(f10,axiom,
! [X0,X1] : '+'(s(X0),X1) = s('+'(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_s) ).
fof(f74,plain,
s(s('+'(a,times(a,s(s(a)))))) != s('+'(a,s('+'(a,'+'(sum(a),sum(a)))))),
inference(backward_demodulation,[],[f23,f73]) ).
fof(f73,plain,
! [X2,X3,X4] : '+'(X3,s('+'(X2,X4))) = s('+'(X2,'+'(X3,X4))),
inference(forward_demodulation,[],[f72,f10]) ).
fof(f72,plain,
! [X2,X3,X4] : '+'(X3,'+'(s(X2),X4)) = s('+'(X2,'+'(X3,X4))),
inference(forward_demodulation,[],[f71,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : '+'(X0,'+'(X1,X2)) = '+'('+'(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus_assoc) ).
fof(f71,plain,
! [X2,X3,X4] : s('+'(X2,'+'(X3,X4))) = '+'('+'(X3,s(X2)),X4),
inference(forward_demodulation,[],[f70,f2]) ).
fof(f70,plain,
! [X2,X3,X4] : '+'('+'(X3,s(X2)),X4) = s('+'('+'(X2,X3),X4)),
inference(superposition,[],[f10,f45]) ).
fof(f23,plain,
s('+'(a,'+'(sum(a),s('+'(a,sum(a)))))) != s(s('+'(a,times(a,s(s(a)))))),
inference(forward_demodulation,[],[f22,f10]) ).
fof(f22,plain,
s('+'(s(a),times(a,s(s(a))))) != s('+'(a,'+'(sum(a),s('+'(a,sum(a)))))),
inference(forward_demodulation,[],[f21,f10]) ).
fof(f21,plain,
s('+'(s(a),times(a,s(s(a))))) != '+'(s(a),'+'(sum(a),s('+'(a,sum(a))))),
inference(forward_demodulation,[],[f20,f10]) ).
fof(f20,plain,
'+'(s(a),'+'(sum(a),s('+'(a,sum(a))))) != '+'(s(s(a)),times(a,s(s(a)))),
inference(backward_demodulation,[],[f18,f10]) ).
fof(f18,plain,
'+'(s(s(a)),times(a,s(s(a)))) != '+'(s(a),'+'(sum(a),'+'(s(a),sum(a)))),
inference(backward_demodulation,[],[f17,f11]) ).
fof(f17,plain,
times(s(a),s(s(a))) != '+'(s(a),'+'(sum(a),'+'(s(a),sum(a)))),
inference(forward_demodulation,[],[f16,f2]) ).
fof(f16,plain,
times(s(a),s(s(a))) != '+'('+'(s(a),sum(a)),'+'(s(a),sum(a))),
inference(forward_demodulation,[],[f15,f13]) ).
fof(f13,axiom,
! [X3] : sum(s(X3)) = '+'(s(X3),sum(X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_s) ).
fof(f15,axiom,
'+'(sum(s(a)),sum(s(a))) != times(s(a),s(s(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUN134-1 : TPTP v8.1.0. Released v8.1.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 10:08:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 % (29379)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.47 % (29371)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.50 % (29369)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (29371)Instruction limit reached!
% 0.19/0.51 % (29371)------------------------------
% 0.19/0.51 % (29371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (29371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (29371)Termination reason: Unknown
% 0.19/0.51 % (29371)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (29371)Memory used [KB]: 6908
% 0.19/0.51 % (29371)Time elapsed: 0.105 s
% 0.19/0.51 % (29371)Instructions burned: 38 (million)
% 0.19/0.51 % (29371)------------------------------
% 0.19/0.51 % (29371)------------------------------
% 0.19/0.52 % (29370)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.52 % (29383)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.19/0.52 % (29362)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/10Mi)
% 0.19/0.52 % (29387)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.19/0.52 % (29361)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99788Mi)
% 0.19/0.52 % (29389)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/381Mi)
% 0.19/0.52 % (29390)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (29388)lrs+10_1:128_awrs=converge:awrsf=8:bd=off:drc=off:slsq=on:slsqc=1:slsql=off:slsqr=40,29:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/495Mi)
% 0.19/0.52 % (29368)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52 % (29365)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (29364)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (29377)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (29366)lrs+10_1:1_br=off:ep=RSTC:sos=all:urr=on:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.53 % (29367)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (29364)Instruction limit reached!
% 0.19/0.53 % (29364)------------------------------
% 0.19/0.53 % (29364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (29364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (29364)Termination reason: Unknown
% 0.19/0.53 % (29364)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (29364)Memory used [KB]: 5500
% 0.19/0.53 % (29364)Time elapsed: 0.135 s
% 0.19/0.53 % (29364)Instructions burned: 6 (million)
% 0.19/0.53 % (29364)------------------------------
% 0.19/0.53 % (29364)------------------------------
% 0.19/0.53 % (29365)First to succeed.
% 0.19/0.53 % (29363)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (29375)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.19/0.53 % (29380)lrs+10_1:128_bd=off:drc=off:fd=preordered:nwc=1.6:urr=on:i=103:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/103Mi)
% 0.19/0.53 % (29385)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.19/0.53 % (29381)lrs+10_1:1024_drc=off:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/388Mi)
% 0.19/0.54 % (29382)dis+11_1:64_fd=off:nm=0:nwc=5.0:i=481:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/481Mi)
% 0.19/0.54 % (29386)lrs+10_1:2_bd=preordered:drc=off:fd=preordered:fde=unused:sp=const_min:to=lpo:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (29372)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.54 % (29376)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.19/0.54 % (29378)lrs+10_1:1_br=off:flr=on:slsq=on:slsqc=1:sp=frequency:urr=on:i=257:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/257Mi)
% 0.19/0.54 % (29373)dis+10_1:1024_anc=all:drc=off:flr=on:fsr=off:sac=on:urr=on:i=292:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/292Mi)
% 0.19/0.54 % (29384)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.19/0.54 % (29374)dis+2_1:1024_abs=on:alpa=false:anc=all_dependent:avsq=on:bce=on:drc=off:newcnf=on:slsq=on:slsqc=0:slsqr=1,1:sp=reverse_arity:i=353:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/353Mi)
% 0.19/0.54 % (29362)Instruction limit reached!
% 0.19/0.54 % (29362)------------------------------
% 0.19/0.54 % (29362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (29362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (29362)Termination reason: Unknown
% 0.19/0.54 % (29362)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (29362)Memory used [KB]: 5628
% 0.19/0.54 % (29362)Time elapsed: 0.129 s
% 0.19/0.54 % (29362)Instructions burned: 11 (million)
% 0.19/0.54 % (29362)------------------------------
% 0.19/0.54 % (29362)------------------------------
% 0.19/0.55 % (29367)Instruction limit reached!
% 0.19/0.55 % (29367)------------------------------
% 0.19/0.55 % (29367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (29367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (29367)Termination reason: Unknown
% 0.19/0.55 % (29367)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (29367)Memory used [KB]: 5628
% 0.19/0.55 % (29367)Time elapsed: 0.108 s
% 0.19/0.55 % (29367)Instructions burned: 7 (million)
% 0.19/0.55 % (29367)------------------------------
% 0.19/0.55 % (29367)------------------------------
% 0.19/0.55 % (29365)Refutation found. Thanks to Tanya!
% 0.19/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55 % (29365)------------------------------
% 0.19/0.55 % (29365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (29365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (29365)Termination reason: Refutation
% 0.19/0.55
% 0.19/0.55 % (29365)Memory used [KB]: 5628
% 0.19/0.55 % (29365)Time elapsed: 0.138 s
% 0.19/0.55 % (29365)Instructions burned: 11 (million)
% 0.19/0.55 % (29365)------------------------------
% 0.19/0.55 % (29365)------------------------------
% 0.19/0.55 % (29360)Success in time 0.207 s
%------------------------------------------------------------------------------